Pythagoras square: how to calculate and read your psychomatrix

What is the Pythagoras square?

The Pythagoras square (psychomatrix) is a 3×3 grid in which the nine cells correspond to the digits 1 to 9. Your date of birth is turned into a set of digits, and each cell gets as many copies of its digit as appear. If a digit doesn’t appear at all, its cell stays empty. The number of digits is then used to draw conclusions about character and tendencies.

The name is historical: the method in its modern form is usually associated with A. F. Aleksandrov, and it’s his variant with four working numbers that Oracul uses. The method isn’t scientific and hasn’t been confirmed by research. It’s more useful to treat it as a structured prompt for thinking about yourself.

How to calculate: the working numbers N1–N4

First you find the four working numbers. They “extend” the date with extra digits, which is why the cells can hold more digits than the date itself contains.

1. 1
   N1 — the sum of all digits of the date

   Write the date as DD.MM.YYYY and add up all the digits. For 14.08.1996: 1+4+0+8+1+9+9+6 = 38.

2. 2
   N2 — the sum of the digits of N1

   Add the digits of N1 once and don’t reduce any further: 3+8 = 11. Eleven stays “11” and is not turned into a 2.

3. 3
   N3 — N1 minus twice the first digit of the day

   Take the first digit of the day without a leading zero: 1 for the 14th, 5 for the 05th, 2 for the 23rd. N3 = 38 − 2×1 = 36.

4. 4
   N4 — the sum of the digits of N3

   One more digit sum: 3+6 = 9. Result: the working numbers are 38, 11, 36, 9.

For people born after 2000

The classic formula N3 = N1 − 2×(first digit of the day) was created for 20th-century dates. For people born from 2000 on, the year starts with “20”: the date has many zeros, which aren’t counted, and the classic N3 gives a very thin grid. So for dates from 2000 onward the convention is N3 = N1 + 19 and N4 = the sum of the digits of N3. The number 19 is a convention, not a “law of nature”: other sources use other formulas, and we say plainly that this is an assumption.

Everything else, N1, N2 and the digit count, is calculated the same way for any date. At the boundary, the exact rule is this: year 2000 and later uses the “after 2000” variant, year 1999 and earlier uses the classic one.

How to count the digits and fill the cells

Write out all the digits of the date (DDMMYYYY) and of all four working numbers. Then, for each digit from 1 to 9, count how many times it appears; zeros are not counted. For 14.08.1996 the set is: 1 4 0 8 1 9 9 6 and the working numbers 38, 11, 36, 9, that is, the digits 3 8, 1 1, 3 6, 9. Result: ones — 4, threes — 2, fours — 1, sixes — 2, eights — 2, nines — 3; twos, fives and sevens — 0.

The cells are arranged like this: columns from left to right are 1-2-3 (the first), 4-5-6, 7-8-9. This is the layout from Aleksandrov’s book, and the app draws it the same way.

A full example: 14.08.1996

Working numbers: 38, 11, 36, 9. Here is what the square looks like:

Line levels (by the sum of digits in the line’s three cells): Goal — 5 (strong); Family — 2 (weak); Habits — 7 (strong); Self-esteem — 6 (strong); Home life — 3 (medium); Talent — 5 (strong); Spirituality — 7 (strong); Temperament — 2 (weak).

Takeaway for this example: for 14.08.1996, the ones are strong (4 — willpower and self-assertion) and so are the nines (3 — memory), while the empty cells are the twos, fives and sevens. An empty 5 means more intuition and impulsiveness, not “weak logic”; an empty 2 means it’s worth protecting your energy reserve; an empty 7 means relying on yourself rather than on chance. The weak “Family” line (sum 2) and “Temperament” line (sum 2) are not a diagnosis, just a way to notice themes for conscious work.

An example for a date after 2000: 05.03.2004

Here the “after 2000” variant applies. N1 = 0+5+0+3+2+0+0+4 = 14, N2 = 1+4 = 5, N3 = 14 + 19 = 33, N4 = 3+3 = 6. Working numbers: 14, 5, 33, 6. For comparison, by the classic formula N3 would be 14 − 2×5 = 4 and N4 = 4, so the grid would receive the digits 4 and 4 instead of 3, 3 and 6. This example shows clearly why the adjustment was needed.

Lines: Goal — 3 (medium); Family — 3 (medium); Habits — 4 (medium); Self-esteem — 5 (strong); Home life — 5 (strong); Talent — 0 (weak); Spirituality — 3 (medium); Temperament — 5 (strong). The empty “Talent” line here simply means that the digits 7, 8 and 9 didn’t appear. It isn’t an absence of ability, just an absence of a “boost” from the date.

Levels: how the number of digits is rated

Oracul uses this scale so the grid can be read quickly:

• Empty cell (0 digits) — no boost from the date; the quality is developed consciously.
• Weak (1 digit) — the quality is there but expressed quietly.
• Medium (2 digits) — balanced expression.
• Strong (3 or more) — the quality is clearly expressed, along with a risk of “overdoing it.”

For lines (the sum of digits in the three cells): up to 2 is weak, 3–4 is medium, 5 and above is strong.

Reading the nine cells

Each cell is described in the same pattern: what it stands for, what its absence or a single digit means, the “norm,” and an excess. Read these as hypotheses, not as verdicts.

1 — Character

Stands for willpower, self-assertion and the ability to stand your ground. With no ones, willpower shows up more softly: it’s harder to insist and defend boundaries, though flexibility is often better developed. A single one suggests a “soft” character that comes out in comfortable surroundings. Two ones mean balanced willpower: you can both insist and give way. Three or more mean noticeable willpower and stubbornness; the more ones, the higher the risk of pressuring others and not hearing compromise.

2 — Energy

About your reserve of energy and your sensitivity to people, your emotional “responsiveness.” No twos mean energy is spent quickly, and recovery needs a conscious routine and rest. One two is the same kind of slender reserve. Two twos mean a steady energy level and enough sensitivity to others. Three or more mean strong receptivity to other people’s moods; it helps to learn to tell other people’s emotions from your own.

3 — Interest

Curiosity and a pull toward learning, neatness in work and in thought. With no threes, your interest in new things needs feeding: learning goes better through practice and real-life tasks. One three is a steady but not all-consuming interest. Two threes mean a good balance between an interest in knowledge and practice. Three or more mean wide-ranging interests and a leaning toward precision; the flip side is pedantry and perfectionism.

4 — Health

Traditionally linked with physical constitution and stamina. This is a metaphor, not a medical assessment. With no fours, it’s worth paying more attention to sleep, workload and recovery. One four is an “ordinary” reserve, without special sturdiness. Two fours mean a steady constitution in a descriptive sense. Three or more suggest an image of endurance; the risk is underestimating fatigue. The square does not replace a doctor’s advice.

5 — Logic

Logic and intuition: whether you make decisions by calculation or by your “inner voice.” No fives mean more intuition and impulsiveness: decisions are made by feel, and checking facts takes effort. One five means logic switches on when needed. Two fives mean a balance of calculation and intuition. Three or more mean a strongly analytical bent; it’s useful not to replace living feelings with endless analysis.

6 — Work

About work, craft and practicality: how close “making things with your hands” and finishing the job feel to you. With no sixes, physical labor and routine tire you, and intellectual and creative tasks feel closer. One six means practicality shows up selectively. Two sixes mean a steady habit of working and a love of tangible results. Three or more mean diligence and a pull toward the material; the risks are workaholism and too strong an attachment to possessions.

7 — Luck

In the descriptions: luck, a sense of “the moment,” trust in circumstances. No sevens mean you lean more on yourself than on chance; success more often comes through work and preparation. One seven means luck is occasional. Two sevens mean a moderate nose for opportunity. Three or more mean a strong sense of “luck” and a tendency to take risks; remember that calculation and preparation still count.

8 — Duty

A sense of duty, responsibility to people and to commitments. With no eights, responsibility feels heavy and commitments can be daunting; clear agreements help. One eight means duty is felt but doesn’t weigh you down. Two eights mean reliability without overload. Three or more mean a strong sense of duty; the risk is taking on too much and not asking for help.

9 — Memory

Memory, intellect, the ability to learn from experience and retain knowledge. With no nines, information is forgotten more easily, so notes and reminder systems help; short steps make learning easier. One nine means a “working” memory. Two nines mean good working memory and the ability to learn. Three or more mean a tenacious memory and curiosity; the flip side is holding on to grudges and the past.

The eight lines of the square

Besides the cells, you look at lines of three cells: three rows, three columns and two diagonals. The number of digits in a line shows how strongly the matching theme is expressed.

• Goal — cells 1-4-7: character, health, luck. Shows how goal-oriented you are and how well you move toward a target. A strong line means drive, a weak one means goals rest on outside circumstances.
• Family — cells 2-5-8: energy, logic, duty. About your attitude to family and home. A strong line means responsibility for loved ones, a weak one means freedom from domestic routine and obligations.
• Habits — cells 3-6-9: interest, work, memory. About the consistency of habits and the ability to keep a routine. A strong line means steady rituals, a weak one means habits that change.
• Self-esteem — cells 1-2-3: character, energy, interest. How you feel about yourself. A strong line means confidence and high standards for yourself, a weak one means dependence on other people’s opinions.
• Home life — cells 4-5-6: health, logic, work. The practical side of life: home, resources, order. A strong line means a knack for running a household, a weak one means home life is not a priority.
• Talent — cells 7-8-9: luck, duty, memory. The ability to learn and deliver results. A strong line means “innate” abilities, a weak one means talent has to be cultivated through practice.
• Spirituality — diagonal 1-5-9: character, logic, memory. About inner values and the search for meaning. A strong line means deep convictions, a weak one means faith in “small things” and practical landmarks.
• Temperament — diagonal 3-5-7: interest, logic, luck. How you react to people and events. A strong line means a lively, emotional response, a weak one means a reserved, even one.

Common calculation mistakes

• Counting zeros. Zero doesn’t belong to any cell. Dates like 10.10.2010 contain zeros, but they are skipped.
• Skipping the digits of two-digit working numbers. The number 38 gives two digits: 3 and 8. The same goes for 11 (two ones), 36 (3 and 6), 33 (two threes).
• Reducing N2 further. In Aleksandrov’s method N2 is a single sum, not “down to one digit.” 11 stays 11.
• Applying the 20th-century formula to dates after 2000. For 2000 and later, N3 = N1 + 19.
• Taking the first digit of the day with a zero. For the 5th you double 5, not 0.
• Mixing up the layout. The columns are 1-2-3, 4-5-6 and 7-8-9; so “Goal” is the top row and “Self-esteem” is the left column.

What next: empty cells, the life path number and a full reading

For what to do with empty cells, and why they’re not a “defect,” see the article on empty cells of the Pythagoras square. To see what a full report with a description of every cell looks like, open the Pythagoras square reading. The overall theme of your date is shown by the life path number, and another scheme built on the same date by the destiny matrix: its scale is 22 arcana, not 9 digits. You can calculate the grid in the free Pythagoras square calculator.

Frequently asked questions